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    <h1 >Department Research Seminars</h1>
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<p style="margin-top:0; margin-bottom: 0;"><strong><strong>Organizers:&nbsp; </strong></strong>Lea Popovic (<a href="mailto:lpopovic@mathstat.concordia.ca">Email</a>) &amp; Alina Stancu (<a href="mailto:stancu@mathstat.concordia.ca">Email</a>)</p>
<p style="margin-top:0; margin-bottom: 0;"><strong>Time: </strong>12:00 (noon)</p>
<p style="margin-top: 0;"><strong>Location: </strong>LB 921-4&nbsp; (Concordia University, Library Building, 1400 de Maisonneuve Blvd. W.)</p>
<p style="margin-bottom: 0;">&nbsp;</p>
<h4 style="margin-top: 0;"> <img src="http://www.mathstat.concordia.ca/images/originals/Pizza.jpg" width="90" height="77" align="middle" />&nbsp; Pizza and drinks will be served after the talk.&nbsp;  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</h4>
<p style="margin-bottom: 0;">&nbsp;</p>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td width="997"><p style="; font-weight: bold;">Upcoming Seminar</p></td>
  </tr>
  <tr>
    <td>TBA</td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td colspan="2"><p style="; font-weight: bold;">Past Seminars</p></td>
  </tr>
  <tr>
    <td>Title:</td>
    <td>Polyakov-Alvarez Formula and Weil Reciprocity Law for  Polyhedra </td>
  </tr>
  <tr>
    <td width="55">Speaker:</td>
    <td width="942">Dr. Alexey Kokotov </td>
  </tr>
  <tr>
    <td>Date:</td>
    <td>November 25  , 2011 </td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="text-align:justify;margin-top:0;margin-bottom:0;">Starting  with a short introduction to the spectral theory of 2d smooth compact  Riemannian manifolds,I will prove the classical result due to Polyakov (1981)  and Alvarez (1983) - the comparison formula for spectral determinants of  Laplacians.&nbsp; It turns out that there  exists an analog of this result for flat singular 2d manifolds (e. g.  boundaries of Euclidean polyhedra or, more generally, 2d simplicial complexes). As a simple corollary of this new analog of comparison formula, one gets a  reciprocity law for conformally equivalent polyhedra, which could be  alternatively derived from the Weil eciprocity law for harmonic functions with  logarithmic singularities.<strong> </strong></p></td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td>Prime Ideals in Commutative Rings and the Work of  DeMarco and Orsatti </td>
  </tr>
  <tr>
    <td width="61">Speaker:</td>
    <td width="976">Dr. Robert Raphael </td>
  </tr>
  <tr>
    <td>Date:</td>
    <td>November 11  , 2011 </td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td> We give a very elementary discussion on prime  numbers, prime ideals, the Spectrum, and close with the work of DeMarco and  Orsatti. </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td>A Curious Tale </td>
  </tr>
  <tr>
    <td width="61">Speaker:</td>
    <td width="980">Dr. Chris Cummins </td>
  </tr>
  <tr>
    <td>Date:</td>
    <td>February 18, 2011 </td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td>Starting with the connections between the  modular groups and finite simple groups, we discuss some torsion-free and  congruence subgroups. Further curiosities lead back to our starting point. </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td>On Problems Related to  Algebraic Connectivity of Graphs </td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td>Dr. Arbind Lal </td>
  </tr>
  <tr>
    <td>Date:</td>
    <td>April 1, 2011 </td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td>Let   $G$ be a connected graph and $L(G)$ be its  Laplacian matrix. The talk   will start with the basic results related with  $L(G)$. Then a   generalization of a result of Fiedler, commonly known  as Fiedler's   monotonicity theorem will be presented. Some results related with    algebraic connectivity of trees and their generalizations to certain   graphs  will be presented. Some problems related to algebraic   connectivity that are  still open will also be presented in this talk. </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><p align="left" style="margin-top:0;margin-bottom:0;">Mathematical Problems in Actuarial Science </p></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td>Dr. Jose Garrido </td>
  </tr>
  <tr>
    <td>Date:</td>
    <td>February 18, 2011 </td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p align="left" style="margin-top:0;margin-bottom:0;">Actuarial sciences are multidisciplinary  in nature. Ideas from mathematics, probability, statistics, demography, computer science, finance and even health and social sciences form the basis of actuarial models. Despite this intricate relation to many mathematical fields, actuarial sciences are still somewhat of an unknown for many mathematicians. This talk will just brush a very personal survey of some mathematical problems or ideas in actuarial sciences. Depending on time, illustrations with problems in differential equations, stochastic processes, functional analysis, matrix algebra and complex analysis will be given. </p>      </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top: 0; margin-bottom: 0;">Riemann Zeta Function and Random Matrix Theory</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td>Dr. Chantal David </td>
  </tr>
  <tr>
    <td>Date:</td>
    <td>February 11, 2011 </td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><span style="margin-top:0; margin-bottom: 0;">We   will explain in this talk the link between  the distribution of the   zeroes of the Riemann Zeta function and the theory of random matrices.&nbsp;   Some applications of the random matrix model to moments and vanishing of   L-functions in families will also be given. </span></td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Number Theory as an Experimental Science </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Hershy Kisilevsky</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0; margin-bottom: 0;">January 21, 2011 </span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><span style="margin-top:0; margin-bottom: 0;">I   will talk about the important influence of numerical  calculation and   machine computation in the discovery, formulation and  verification of   conjectures in number theory. There will be particular emphasis  on the   conjectures arising from a series of machine computations of values of    L-functions done with Jack Fearnley.</span></td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;">The Elephant and the Mouse</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. John McKay</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0; margin-bottom: 0;">April 7, 2010</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p align="justify" style="margin-top:0;margin-bottom:0;">I   recount a career of nearly fifty years chasing properties of finite   groups using computers.&nbsp; The wonders of &nbsp;character tables &amp; the   latest news &nbsp;on the conjecture that m_p(G) = m_p(N_G(P)) for all finite   groups G. Properties of Coxeter-Dynkin diagrams. Exploring the monster.   Ideas on a construction netting all finite simple groups.&nbsp; [This is intended primarily for graduate students. No knowledge of   integrable systems, symplectic geometry, algebraic topology, or an   evolving universe is assumed.]</p>      </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Universality: What Random Matrices and Orthogonal Polynomials have in Common with Waves</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Marco Bertola </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="text-align:justify; margin-top:0; margin-bottom: 0;">March 11, 2010</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;margin-bottom:0;">The talk will try to survey   three topics that seem completely unrelated: random matrices, that is,   the study of statistical properties of eigenvalues of matrices whose   entries are chosen at random (with a certain distribution); Orthogonal   polynomials; and Nonlinear (integrable) waves, namely,&nbsp; nonlinear PDEs   which admit infinitely many conserved quantities.&nbsp; I   will focus on one instance from each group; the &ldquo;Hermitean'' matrix   model on one side and the (focusing) Nonlinear Schro&quot;dinger equation. It   turns out that the method to investigate&nbsp; many spectral statistical   properties of the first model when the size N of the matrices becomes   increasingly large can be --almost verbatim-- exported to the analysis   of the &ldquo;small-dispersion limit&rdquo; of certain nonlinear waves, where the   &ldquo;dispersion parameter'' plays the analog of the inverse of the size of   the matrices.&nbsp;Two examples are the Korteweg-de Vries and the Nonlinear   Schro&quot;dinger equations (in one spatial dimension): the link is due to   the inverse spectral method introduced decades ago by Zakharov and   Shabat, and the much more recent method of the nonlinear Steepest   Descent of Deift and Zhou.&nbsp;Thrown into this mix are certain century-old   special functions (Painlev e' transcendents) which still hold mysteries   and are object of open conjectures.</p>      </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Long-Time Behavior of 2-Dimensional Flows of Ideal Incompressible Fluid </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Alexander Shnirelman </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">February 11, 2010</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="text-align:justify;margin-top:0;margin-bottom:0;">Consider   the motion of ideal incompressible fluid in a bounded 2-d domain. It is   described by the Euler equations which, in spite of their deceptive   simplicity, are hard to investigate. For the initial velocity field   smooth enough, the Euler equations have a unique solution for all time,   and it's natural to ask what is its long-time asymptotics. The physical   experiments and computer simulations show a nontrivial, counterintuitive   picture of a huge attractor in the space of incompressible velocity   fields, consisting of stationary, periodic, quasiperiodic and, possibly,   chaotic solutions. This picture appears to contradict the conservative   nature of the Euler equations; this is similar to contradiction between   the microscopical reversibility of the molecular motion and   macroscopical irreversibility of thermodynamical processes.&nbsp; I am going to demonstrate   the results of computer simulation and physical experiments on the   fluid motion, and discuss connections of this problem with analysis,   dynamical systems and even topology.</p>      </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Reciprocal Symmetry, Unimodality and Khintchine&rsquo;s Theorem </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Yogendra P. Chaubey </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">December 11, 2009</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="text-align:justify; margin-top:0; margin-bottom: 0;">The   symmetric distributions on real line and their multivariate extensions   play a central role in statistical theory and many of its applications.   Furthermore, data in practice often consist of nonnegative measurements.   In this respect, R-symmetric distributions defined on the positive real   line may be considered analogous to symmetric distributions on the real   line. Hence it is useful to investigate reciprocal symmetry in general   and R-symmetry in&nbsp; articular. In this paper, we shall explore a number   of interesting results and interplays involving reciprocal symmetry,   unimodality and Khintchine's theorem with emphasis on R-symmetry.</p>      </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Determinant of Laplace Operator as Morse Function </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Dmitri Korotkin </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">November 27, 2009</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="text-align:justify; margin-top:0; margin-bottom: 0;">The idea to   use determinant of Laplace operator to study the space of metrics on   Riemann surfaces goes back to works of Osgood, Philips and Sarnak   written in 1980's. In this talk we give a simple proof of the their&nbsp;   main heorem which states that the determinant of Laplacian is maximal   within given conformal class on the metric of constant curvature.&nbsp; Our&nbsp;   proof makes use&nbsp; of Ricci flow on two-dimensional manifolds.&nbsp; We show   also how to use the determinant of Laplacian as Morse function on the   moduli space of genus two Riemann surfaces to compute the orbifold Euler   characteristic of this space; this characteristic turns out to be equal   to -1/120, in agreement with the classical result of Harer and Zagier.</p></td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>&ldquo;Learning by Example&rdquo; -   The Approach to Teaching Mathematics in College Level Algebra   Textbooks.&nbsp; What Algebra? What Mathematics?</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Nadia Hardy </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">October 16, 2009</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="text-align:justify; margin-top:0; margin-bottom: 0;">In this   talk, I will go over the didactic and mathematical organization of nine   contemporary college level Algebra textbooks (including the one we use   for MATH200). These textbooks follow a teaching approach that can be   named &quot;learning by example&quot;. I assume that the striking similarities in   content presentation refer to a widely adopted way of teaching in North   America. I will focus on the chapters about factoring and solving   quadratic equations. By analyzing the textbooks' discourses, the   worked-out examples, the ad-hoc jargon, and the proposed exercises, I   will argue that the resulting body of knowledge has little to do with   mathematical knowledge. Heuristic activities become the knowledge to be   learned and 'doing mathematics' becomes a ritual that defies   mathematical rationality.</p></td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Computers in the Teaching of Mathematics </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dra. Araceli Reyes [Visiting Scholar from Instituto Technol&oacute;gico Aut&oacute;nomo de M&eacute;xico (ITAM)] </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">May 12, 2009</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;margin-bottom:0;">In this seminar, I will   present the different ways that I have used computers to teach a variety   of mathematical subjects. The topics will be drawn from Geometry,   Calculus and Linear Algebra.&nbsp; I will also discuss, as deeply as   possible, the theoretical educational frameworks that underlie these   computer applications. Following the talk, we will have a session in the   computer lab so everyone in attendance can experiment with possible   applications of the computer software.&nbsp; We will be using Maple and   GeoGebra. </p>
      <p style="margin-top:0; margin-bottom: 0;">*This is a Joint Mathematics Education and Exceptional Pizza Seminar.</p>      </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Random Trees, Walks and Point Processes </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Lea Popovic</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">April 3, 2009 </span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;margin-bottom:0;"><span style="margin-top:0; margin-bottom: 0;">Random Trees appear in a   variety of applications, for example in recording relationships of   randomly evolving populations, or keeping track of executed actions in   randomized algorithms. A finite tree can be encoded by a walk around it,   or by a point-process on its internal nodes. What is useful about these   representations is that for certain types of random trees they turn out   to be well-known objects: a random walk and an i.i.d. point-process.   When a tree has a large number of nodes and edges it can be approximated   by a continuum tree whose walk is related to Brownian motion and whose   point-process is Poisson. We will see how these objects help us in   presenting trees in an accessible manner.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Another Introduction to Tau Functions </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. John Harnad </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">March 6, 2009 </span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;margin-bottom:0;">The notion of tau functions was introduced originally by Hirota and   Sato in the context of completely integrable systems, but has proved to   be much farther reaching in its applications than was originally   conceived.&nbsp; Besides its original use&nbsp;as a generating function for   classical integrable,&nbsp;commutative flows, allowing the dynamical   equations to be expressed in bilinear form, it has&nbsp;found   remarkable&nbsp;applications in a number of other distinct&nbsp;areas of   mathematics and physics. &nbsp;These include: 1) Correlation functions for   quantum many-body and spin systems (Ising model, Heisenberg ferromagnet,   etc.), 2) Partition functions and correlators for random matrices and   Coulomb gases, 3) Generating functions and partition functions for   certain classes of random processes (asymmetric exclusions process,   Schur processes, etc.) and certain random tilings, 4) Generating   functions for topological invariants (Gromov-Witten, Donaldson-Thomas,   Hurwitz numbers, etc.).&nbsp; It is a central ingredient, in particular, in   most of the recent work&nbsp;of Fields medalist&nbsp;Andrey Okounkov and his   collaborators.</p>
      <p style="margin-top:0;">Some of the key tools and building blocks for tau   functions are borrowed from group representation theory, geometry and   combinatorics (partitions,&nbsp;group characters (Schur&nbsp;functions), sorting   algorithms) and some from a very&nbsp;simple version of&nbsp;quantum field theory   (free&nbsp;fermionic operators, vertex operators, vacuum expectation values,   Wick's theorem). This talk will present a small sample of these   applications&nbsp;and will try&nbsp;include a very elementary introduction to the   methods involved. It is also related to the topics covered in the   Aisenstadt lecture series&nbsp;given by&nbsp;Craig Tracy at the CRM during the   same week.</p>      </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>The Div-Curl Lemma </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Galia Dafni </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">February 6, 2009</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">The Div-Curl Lemma, due to F. Murat, is a tool in &quot;compensated   compactness&quot;, a way of obtaining convergence results for nonlinear   quantities in partial differential equations. This talk will explain the   lemma and its more recent versions, involving the use of Hardy spaces. </span></p>        </td>
  </tr>
</table>
<table width="" cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>The Twin Prime Conjecture for Elliptic Curves </span></td>
  </tr>
  <tr>
    <td width="56">Speaker:</td>
    <td width="985"><span style="margin-top:0;margin-bottom:0;">Dr. Chantal David </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">November 28, 2008 </span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">A well-known open problem in   number theory is that of showing that there exists infinitely many   primes p such that p+2 is also a prime. The problem is known as the twin   prime conjecture, and was made precise by Hardy and Littlewood in 1933,   who predicted an asymptotic for the number of twin primes up to x. One   can generalise the twin prime conjecture to distribution of primes   represented by general polynomials (the polynomials being n and n+2 for   the case of the twin prime conjecture). For example, are there   infinitely many primes of the form n^2+1? In 1988, Neil Koblitz   formulated another analogue conjecture, for elliptic curves. For each   prime p, let N_p(E) be the order of the group of points of E modulo p.   Are there infinitely many primes p such that N_p(E) is prime? This has   application to cryptography. This conjecture is still an open question,   and there are no example of elliptic curves with infinitely many such   primes. This talk will explain the twin prime conjecture and the Koblitz   conjecture, without assuming any background from the audience. </span></p></td>
  </tr>
</table>
<table width="" cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>On Commutative Clean Rings </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Bob Raphael </span></td>
  </tr>
  <tr>
    <td><p style="margin-top: 0; margin-bottom: 0">Date:</p></td>
    <td><span style="margin-top:0;margin-bottom:0;">October 31, 2008 </span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">Clean rings are defined and elementary examples are given. An   embedding theorem is proved, and extensions by idempotents are   discussed. Applications to rings of the form C(X) are given. Some of the   work is joint with W. Burgess of the University of Ottawa. The level of   the talk will be elementary. </span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Why Should We Care About Philosophy of Mathematics? </span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Bill Byers </span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">September 26, 2008 </span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">People who study, teach, and do mathematics don't often take the   time to think about what they are doing. In this talk, I suggest that a   little more reflection would be a good thing. I'll consider questions   like: What does it mean for a result to be deep or trivial? Is there a   difference between following an argument and understanding what is   really going on? What are the roles of logic and ambiguity in   mathematics? </span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Combustion and Asymptotics</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Iana Anguelova</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">March 30, 2007</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">I will introduce some concepts and problems in the mathematical theory of combustion, for instance    what is the difference between flame propagation and detonation. I will then show how different    asymptotic methods are (invented and) applied to solving combustion problems.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Stochastic Filtering and its Applications</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Wei Sun</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">March 2, 2007</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">Filtering is concerned with estimating the conditional probability distribution of a    signal through a partial and noisy sequence of observations of the signal. Recently, there is an    increasing interest in applying filtering theory to many real-world problems. In this talk, I will    first demonstrate some applications of filtering. Then I will introduce the three fundamental    problems of nonlinear filtering: filtering equations, particle filters and stability of    filters.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Maps of Interval, Invariant Measures and Some Related Problems</span></td>
  </tr>
  <tr>
    <td width="54">Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">January 6, 2007</span></td>
  </tr>
  <tr>
    <td>Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Pawel Gora</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">We    will mainly discuss absolutely continuous invariant measures for maps of an interval. Some related    problems will also be considered: representations of numbers and their properties. If time permits    we will describe connections with the Ising model.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Sources of Frustration Among Students in Prerequisite Mathematics Courses</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Anna Sierpinska</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">December 8, 2006</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">I will be talking about my research on students' frustration in mathematics courses that are required    for admission into academic programs such as Psychology, Computer Engineering, Business School, etc.    The research was based on a questionnaire sent to students enrolled in MATH 200, 201, 206 and 209    courses in the years 2003 and 2004; 96 students responded. The questionnaire and frequencies of    responses are available on the web through a link at http://www.asjdomain.ca/. In the talk, I'll    present the theoretical framework underlying the analysis of the data (a concept of frustration and    a theory of institutions) and results related to the main sources of students' frustration    identified through the study.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>An Excursion into Affine Geometry</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Alina Stancu</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">November 17, 2006</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">Affine geometry is devoted to the study of invariant quantities of curves, surfaces or    hypersurfaces under the group of volume preserving affine transformations of Rn. Think of them as    transformations of Rn which map spheres centered at the origin into ellipsoids of equal volume    placed arbitrarily in the space. If we take an n-dimensional convex body, a ball for example, with    the metric inherited from the Euclidean space, its volume is an affine invariant, but its surface    area is not. However, there exists a notion of affine surface area which is invariant under affine    transformations and there exists a famous affine isoperimetric inequality which relates it to the    volume. In this talk we will give two simple geometric interpretations of the affine surface area of    convex bodies. Along the way, we will touch upon some new characterizations of ellipsoids.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Equity-Indexed Annuities and Dynamic Hedging Errors</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Patrice Gaillardetz</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">October 27, 2006</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;">In this talk, I present different features of Equity-Indexed Annuities (EIAs). I explain among other    things types of design, law constraints, and advantages of these equity-linked products. Because of    their sophisticated designs, pricing EIAs in an incomplete market is complex. Therefore, I also    propose a new pricing principle that combines the actuarial as well as the financial approaches. The    financial approach underlies a dynamic hedging strategy that is not self-financing. This non    self-financing strategy is leading to two different types of errors that are due to the mortality    risk.&nbsp; A loaded premium that protects the insurance company  against this mortality risk is presented. Numerical examples on EIAs are provided to illustrate the  implementation of this approach.</p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Estimation Problems for Censored Data</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Arush Sen</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">April 28, 2006</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;margin-bottom:0;">Censored data poses a major constraint in survival analysis, an    area of statistics that deals with 'life-time' data, e.g., time until death for patients with a    certain disease, time until infection after exposure etc. Censoring means being able to observe data    only partially. Another issue is the possibility of 'cure', i.e., patients not dying or not catching    the disease. We shall discuss these issues for two important models of censoring, viz., random    censoring (for uni-variate as well as bi-variate data) and interval censoring (Case-1), and methods    of dealing with them.</p>
        <p style="margin-top:0;"> *Part of the talk is based on joint works with W.Stute and F.Tan.</p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Random Matrices, Random processes, Integrable Systems</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. John Harnad</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">March 17, 2006</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">The spectral theory of random matrices has appeared and re-appeard    in various applications over the past few decades. Aside from well-known applications of    multivariate-statistics, it has been of importance in such diverse and interesting physical problems    as the statistical theoeyr of hiigh-lying energy levels of large atomic nuclei (Wigner, Byson,    1960's) and attempts at discretixation of the Feyman path integralunderlying 2D-quantum gravity and    conformal models (1990's). More recently, connections have also been made with supersymmetric    Yang-Mills theory, and also some quite different problems amenable to similar analysis, such as    growth problems in random media, random words, random tilings and random permutations, as well as    the seemingly unrelated domain of classical and quantum integrable systems. A key step in    understanding these relations is to note, first, that there is an immediate connection with the    theory of orthogonal polynomials, which dates back to the work of Stieltjes in the 19th century, and    second, that an effective way to study the relevant statistics of the eigenvalues is by varying the    parameters governing the measure and support of the spectrum. The latter leads directly to the types    of deformation equations studied in the theory of integrable systems.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Arithmetic of Elliptic Curves and Modular Forms</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Adrian Iovita</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">January 27, 2006</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">I will discuss a famous conjecture of Mazur-Tate-Teirelbaum    relating special values of the p-acidic and complex L-functions of an elliptic curve (respectively    modular form) in the presence of a trivial zero.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong> Determinants of Laplace Operators on Riemann Surfaces and  Tau-Functions of Riemann-Hilbert Problems</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Dmitri Korotkin</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">December 2, 2005</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;">Determinants of Laplacian on a compact Riemann surface is an    important spectral characteristic of both the conformal class of the Riemann surface and the metric.    These determinants play an important role in many applications of Riemann surfaces - from string    theory to geometry of moduli space of Riemann surfaces. The tau-functions of Riemann-Hilbert    problems arise in a completely different context: they correspond to equations of isomonodromy    deformations (the classical Schlesinger equations) of a given Riemann-Hilbert problem, and play the    central role in solvability of these problems.&nbsp; In our talk, we discuss these objects, and show that the are very closely related to each other.  In particular, we find new expressions for determinants of Laplacians on Riemann surfaces in two  classes of metrics: the metrics of constant curvatures and flat metrics with conical singularities.</p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Exit Problems for Reflected Levy Processes</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Xiaowen Zhou</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">October 28, 2005</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">Levy processes are stochastic stationary and independent    increments. Some of the most important examples are Brownian motion, the compound Poisson process    and the stable process. In this talk we will first give a brief introduction of (spectrally    negative) Levy processes and their exit problems. We will then present Bertoin's solutions to the    exit problems. The rest of the talk will focus on some recent results on the exit problems for the    reflected Levy processes. Connections with risk models will be mentioned.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong><span style="margin-top:0; margin-bottom: 0;">A Mystery of the 2-Dimensional Fluid</span></span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0; margin-bottom: 0;">Dr. Alexander Shnirelman</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">October 7, 2005&nbsp;&nbsp;&nbsp;</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">N/A</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Visualization of Hypperelliptic Solutions to Integrable Equations</span></td>
  </tr>
  <tr>
    <td width="54">Speaker:</td>
    <td><span style="margin-top:0;margin-bottom:0;">Dr. Christian Klein</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">April 22, 2005&nbsp;</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;"><span style="margin-top:0; margin-bottom: 0;">Almost periodic solutions to certain integrable equations as to    Korteweg-de Vries and the Kadomtsev-Petviashvili equation describing waves on shallow water are    given in terms of theta functions associated to certain Riemann surfaces. Corresponding solutions to    the Ernst equation describe solutions to the Einstein equations in a stationary axisymmetric vacuum,    i.e., the graviational field of stars and galaxies. In the latter case, the underlying Riemann    surface depends explicitly on the physical coordinates. The numerical evaluation and the    visualization of these solutions thus requires an efficient code of high precision which is achieved    by using so-called spectral methods.</span></p>        </td>
  </tr>
</table>
<table cellpadding="3" cellspacing="2">
  <tr>
    <td>Title:</td>
    <td><span style="margin-top:0;margin-bottom:0;"><strong> </strong>Ghostly Curve and Partition Functions</span></td>
  </tr>
  <tr>
    <td width="57">Speaker:</td>
    <td width="984"><span style="margin-top:0;margin-bottom:0;">Dr. Marco Bertola</span></td>
  </tr>
  <tr>
    <td>Date:</td>
    <td><span style="margin-top:0;margin-bottom:0;">April 08, 2005</span></td>
  </tr>
  <tr>
    <td>Abstract:</td>
    <td><p style="margin-top:0;">We define the notion of partition function for a certain    statistical model of random matrices and show how it is related to a ghostly curve (a.k.a. spectral    curve).</p>        </td>
  </tr>
</table>
<p style="margin-bottom: 0;">&nbsp;</p>
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